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CONTENTS Tom 46(60), Fascicola 1, 2001, ISSN 1224-6069 MATHEMATICS Malvina BAICA – The elliptical Fermat’s Last Theorem (elflt) and the Original Euclidean Fermat’s Last Theorem (EFLT)...............................……. 5 Mihail B. BANARU and Galina A. BANARU – About Six-Dimensional Planar Hermitian Submanifolds of Cayley Algebra ..................................... 13 Constantin MILICI – Sur le Calcule Automatique de Quelques Integrales Trigonometriques …………………………………………………………… 18 Octavian LIPOVAN – On Set Valued Functions Probabilistic Submeasurability ............................................................................................ 22 Cristian LĂZUREANU – Some Remarks about the Rigid Body with Two Quadratic Controls ......................................................................................... 31 Camelia ARIEŞANU – Control and Stability on the Heisenberg Lie Group H(3) ................................................................................................................. 35 7. Nicolae N. NEAMŢU – A Fuctional Definition of Exponential Function .... 41 8. Paşc GĂVRUŢĂ and Liviu CĂDARIU – Stability of the Eigenvectors of an Operator Coming From Cuntz Algebras and Wavelets ........................... 47 Doru PĂUNESCU – A Moment Problem for Operators ............................... 55 1. 2. 3. 4. 5. 6. 9. PHYSICS 10 11. 12. Ioan LUMINOSU and Cristian MARCU – On the Heat Loos of Flat-Plate Solar Collector ................................................................................................ 64 Dusan POPOV – Position and Momentum Information Entropies of The Rotating Morse Oscillator .............................................................................. 70 J.P.ŠETRAJIČIĆ, B.B. TOŠIĆ, S.M.STOJKOVIĆ, D.L.J.MIRJANIĆ – Charge Carrieres Energy Spectra and States in Anisotropic and Bounded Structures ........................................................................................................ 80 Tom 46(60), Fascicola 2, 2001, ISSN 1224-6069 MATHEMATICS 1. Valeriu POPA and Takashi NOIRI – On m-Continuous Multifuntions .......... 2. Mihail BANARU – Two Theorems on Cosymplectic Hypersurfaces of SixDimensional Kahlerian Submanifold of Cayley Algebra ............................... 1 13 Titu BÂNZARU – Multifunctions with Values in Generalized Uniform Spaces .............................................................................................................. 18 Octavian LIPOVAN - The Submeasurability of Functions with Values in Product of Probabilistic Metric Structure ........................................................ 24 5. Dan DĂIANU - Structure of Additive a-Categories ...................................... 32 6. Constantin MILICI - Sur le Calcule Automatique de Quelques Integrales Trigonometriques (II) ……………………………………………………….. 44 Mihai NEAGU and Dan POPESCU - About the Pseudohomogeneous Distribution ...................................................................................................... 48 Gabriela CRISTESCU and Liana LUPŞA - General Convexity for Functions Associated to General Convexity for Sets ...................................... 47 Emil POPESCU - An Integral Representation of the Operators which Form a Feller Semigroup .......................................................................................... 62 3. 4. 7. 8. 9. PHYSICS 10. 11. 12. 13. 14. Bernhard ROTHENSTEIN, Albert ROTHENSTEIN, Floricica BARVINSCHI - Shadow Motion with Surprises ........................................... 66 Ioan ZAHARIE and Marin LIŢĂ - The Crystallization Kinetics of Fe65 Gd10 Cr5 B20 Amorphous Alloys .............................................................................. 74 Adriana Sida MANEA - Theoretical and Experimental Study on the Flows in the Presence of an Airfoil ............................................................................ 80 Dusan POPOV - Uncertainty Through the Coherent States for the BDS-Hamiltonian ............................................................................................ 86 L.HRIANCA, M.CRISTEA, A.ZAMFIR, M.GANGĂL, M.ŞTEFĂNESCU - Radio frequency magnetic properties of Ni-Ferrite ..................................... 94 Tom 47(61), Fascicola 1, 2002, ISSN 1224-6069 MATHEMATICS 1. H.SASAYAMA - On the theory of hypercomplex n-tuple spaces, I supra nilfactors and supra-Fréchet differentiation in E() ……………… 1 L.S.VELIMIROVIC – On variation of the volume bounded by rotational surface under infinitesimal bending of meridian ....................................... 6 3. L.S.VELIMIROVIC – On bending of hyperbolic paraboloid ................... 14 4. M.BAICA – Clarification of the author’s previous paper on Goldbach’s conjecture .………...................................................................................... 20 5. N.BOJA – On the volume formula of an -absolutely thin tube ………... 35 6. G.CRISTESCU, L.LUPŞA – Generalized graph – related convex functions ………….................................................................................... 39 2. 7. 8. 9. C.STOICA, L.SIDA – Osculating convexity of first order for plane curves ……………………………………………..................................... 45 F.MUNTEANU – Conservation laws for dynamical Hamiltonian systems on Hamilton space of order k 1 ……………………………..... 53 P.GĂVRUTA, L.CĂDARIU – General stability of the cubic functional equation ...................................................................................................... 59 PHYSICS 10. M.BOLDAN, M.GANGĂL – Researches regarding the Co-Be thin films 71 11. M.GANGĂL, M.BOLDAN – Researches upon the achievement of some new vitroceramic materials ........................................................................ 75 B.ROTHENSTEIN, A.De SABATA, F.BARVINSCHI – Black-body radiation: The Lorentz transformation of Planck’s law ............................ 78 I.HRIANCA, M.CRISTEA, A.RATUSZNA, N.STEFU – Complex magnetic permeability of some Li and Li-Zn ferrites ................................ 85 M.CRISTEA, I.DAMIAN – EPR spectra of some ternary oxidic solid solutions ..................................................................................................... 90 H.E.PORTEIANU, T.DITTRICH, F.KOCH – Microwave transient photoconductivity studies in porous semiconductors ................................ 97 12. 13. 14. 15. 16. C.MARCU, I.LUMINOSU, F.LUPEA – About the efficiency of solar energy storage in the pebble beds .............................................................. 104 Tom 47(61), Fascicola 2, 2002, ISSN 1224-6069 MATHEMATICS 1. H.SASAYAMA - On the Theory of Hypercomplex n-tuple Spaces, II - Generalized R.Fueter’s Polynomials - ………………………………… 1 2. M.CÂRDU, M.BAICA – Elements of Poligonal Trigonometry .……….. 7 3. L.CĂDARIU – A General Theorem of Stability for the Cauchy’s Equation …………………………………………………………………. 14 4. L.CRISTEA – A Metric Property of Special Simplexes ………………... 29 5. O.LIPOVAN – The -Uniformities on Probabilistic Metric Structures-Valued Function Spaces ………………………………………………... 33 6. Gh.M.TUDOR – Inégalites Intégrales (II) ……………………………… 42 7. M.NEAGU, D.POPESCU – Distributional Functional Identities Characterizing Quadratic Polynomials ………………………………….. 46 PHYSICS 8. 9. 10. 11. 12. 13. 14. A. RATUSZNA, J. RYBCZYNSKI, Ph. DANIEL – Studies of structural distortion of NaZnF3 perovskite ................................................................ 52 Abraham A. UNGAR – The Relativistic Doppler Effect Without Clock Synchronization ......................................................................................... 60 B. ROTHENSTEIN, I. ZAHARIE – Zero, Infinite and Negative Reception Periods of Acoustic Signals? What Does That Mean? ............. 69 B. ROTHENSTEIN, D. PĂUNESCU, F. BARVINSCHI – A relativistic space-time diagram for photographers in relative motion ......................... 75 D. POPOV – Photon-Added Coherent States of the Harmonic Oscillator – Revisited ................................................................................................. 83 I. HRIANCA, M. CRISTEA, M.BOLDAN, A. ZAMFIR, C. CAIZER – Some aspects of the maagnetic behaviour of LiZn ferrite ......................... 91 L. LIGHEZAN – The application of the symmetry groups theory on the study of the F color center energy levels in alkali halides ......................... 99 Tom 48(62), Fascicola 1, 2003, ISSN 1224-6069 MATHEMATICS 1. 2. 3. 4. M.BAICA, M.CÂRDU – Regarding the General Character of the Poliganal Trigonometry Elements of Polygonal Trigonometry .………… 1 N.N.NEAMŢU – Existence and Uniqueness of the Solution for the Cubic Functional Equation ………………………………………………………. 7 H.DEMIRBÜKER, L.Z.AKGÜN – Conharmonic Transformations in Generalized Weyl Spaces ………………………………………………… 12 Gh.M.TUDOR – Sur les zéros des Séries de puissance (V)………………. 20 PHYSICS 5. 6. 7. 8. 9. 10. 11. S.B.LAZAREV, O.I.BODROŽA-PANTIĆ*, M.R.PANTIĆ** - Surface electron states of thin metallic films V. SAJFERT, R. ĐAJIĆ, M. PANTIĆ, B. TOŠIĆ -Nano Tubes Model for DNA Transcription B. ROTHENSTEIN, R.P.GRUBER and F. BARVINSCHI - Differently Accelerated Twins Without Differential Aging M. CRISTEA, I. DAMIAN, M. BOLDAN, M. GANGĂL -Rotational hysteresis of shiny electrolitical nickel layers B. ROTHENSTEIN, I. ZAHARIE - With the relativistic velocity addition law through special relativity B. ROTHENSTEIN, I. DAMIAN - The nature of the Coulombian field: Why two formulas for the electric field created by a uniformly moving point charge? V. DOROBANTU, G. GRÜN - X – ray inspection of pipelines having large diameters 24 31 38 43 51 59 69 Tom 48(62), Fascicola 2, 2003, ISSN 1224-6069 MATHEMATICS 1. M.BAICA – Today’s Status of the Fermat’s last theorem .……………….. 1 2. Gh.M.TUDOR – L’Équation diophantienne (I) ……………………….…. 13 3. R.NEGREA – On the convergence of successive approximations for McShane stochastic integral equations and financial applications ……….. 19 4. G.CRISTESCU – Duality and the Galois connection between two convexity spaces ………………………………………………………….. 5. T.NOIRI, V.POPA – Properties of upper and lower - continuous multifunctions …………………………………………………………….. 35 C.POPA – Some properties and applications of a modified Kovarik algorithm …………………………………………………………………. 49 7. J.UŠAN, M.ŽIŽOVIC – One remark on (k(m – 1)+1) – groups …………. 57 8. R.L.LUPŞA – Quad-tree construction for ordered Dithering mask ……… 63 9. D.I.DUCA, L.LUPŞA - Bi-(, ) convex-concave functions ……………. 67 10. P.GǍVRUŢA – Some properties of frames in Hilbert spaces ……………. 73 11. M.TUBA – Controlled maximum entropy method optimization of the initial network topology and routing ……………………………………… 81 6. 27 PHYSICS 12. 13. 14. 15. 16. B. ROTHENSTEIN, I. ZAHARIE – The physycs behind the phase invariance derivation of Doppler shift formulas …………………………. I. LUMINOSU – Determination of controllable variables of flat-plate solar collector by digital simulation considering the efficiency criterion … B. ROTHENSTEIN, I. DAMIAN – An analysis of the classical acoustic Doppler effect revisited N. POP – Shift operators of the (d+1) – dimenional relativistic rotating oscillators I.HRIANCA, M.CRISTEA, V.VILCEANU, M.FEDER, M.BOLDAN, A.ZAMFIR – Some aspects of the magnetic behaviour of MnZn ferrite 88 93 103 112 120 Tom 49(63), Fascicola 1, 2004, ISSN 1224-6069 MATHEMATICS 1. 2. 3. M.CIOBANU – Geometric structures associated to some dynamic systems ……………………………………………………………………. 1 B.CRSTICI, D.DǍIANU – New generalizations of Cauchy’s functional equation ……………………….…………………………………………... 7 m1 m2 mk Gh. TUDOR – L’équation Diophantienne x1x1 x2x2 ... xkxk ykyk (II) ………………………………………………………………………… 13 4. A.VERNESCU - Some aspects related to the discrete analogue of differential and integral equations ………………………………………... 20 J.UŠAN, M.ŽIŽOVIC – nHG–Algebras as algebras of the types < 2, 1, 1, 1, 0, 0 > with laws ……………………………………………… 26 6. M.BAICA, A.PERETTI – The binary Goldbach Problem ………………. 30 7. O.LIPOVAN – A criterion for pseudosubmeasurable functions …………. 45 8. M.NEAGU – Distributional Functional Identities characterizing polynomials ……………………………………………………………….. 52 9. C.BOTA – On a property of minimal sets of a homeomorphism ………… 59 10. A.GÎRBAN – Some remarks on the Lyapunov-Malkin Theorem (I) .……. 62 5. PHYSICS 11. 12. 13. 14. 15. I.ZAHARIE – On the crystallization kinetics of Fe60Gd10Cr10B20 amorphous alloys………………………………………………………….. 74 B. ROTHENSTEIN, I.DAMIAN – Relativistic doppler effect free of “plane wave” and “very high” frequency assumptions……………………. 80 M. PUTZ – The quantum statistics of the chemical reactivity. Part II. Fokker – Planck path integral density functional rate equation formulation 90 V. SAJFERT, M. GARIĆ, J. P. ŠETRAJČIĆ, B. S. TOŠIĆ - Mechanical oscillations in Cylindrical Quantum Nano Dots ………………………….. 96 N. POP – Thermodynamic properties of relativistic fermion oscillators … 102 Tom 49(63), Fascicola 2, 2004, ISSN 1224-6069 MATHEMATICS 1. Gh.M. TUDOR – L’équation Diophantienne x x1 x x2 ... x xk y y1 y y2 ... ymym (III) 1 2 1 2 k 1 2. C. MILICI – Sur le calcule automatiques integrales trigonometriques (III) .…… 9 3. A. GÎRBAN – Some remarks on the Lyapunov-Malkin Theorem (II) …………. 14 4. C. BOTA – A property of a monotone global semi-flow on a vector bundle …... 26 5. I. DRAGOMIRESCU – Critical Rayleigh number in a convection in thawing subsea permafrost problem ……………………………. 30 6. M. NEAGU – Distributional functional identities characterizing -polynomials 38 7. C. BOTA, D. POPESCU – About periodic trajectories of a dynamical system on a topological manifold …………………………. 44 8. Gh.M. TUDOR, T.BÎNZAR – On a Diophantine equation …………………….. 48 9. L. CIURDARIU – On the topology of Loynes spaces ………………………….. 52 PHYSICS 10. 11. 12. 13. 14. 15. 16. B. ROTHENSTEIN, C. NAFORNIŢĂ – Three levels of understanding physical relativity: Galileo’s relativity, up-to-date Galileo’s Relativity and Einstein’s Relativity: A historical survey……………………………………. D. POPOV – Coherent states formalism for the pseudoharmonic oscilator…… M. CRISTEA, M. BIRZESCU, M. ŞTEFĂNESCU – High purity Ni-ferrite obtained from a new organometallic precursor……………………………… P. BARVINSCHI – Seismic modeling and imaging using the reverse-time migration method.…………………………………………………………… P. BARVINSCHI – Brilliance of an X-ray source for a foil type target………. I. DAMIAN – Malu’s law for a real polarizer……………………………… L. LIGHEZAN – UV-VIS absorbtion of the color centers formed in electrolyticaly colored CaF2 crystals 60 70 79 86 94 98 104 Tom 50(64), Fascicola 1, 2005, ISSN 1224-6069 MATHEMATICS 1. E. EKICI, V. POPA – Some Properties of Upper and Lower Clopen Continuous Multifunctions …………………………………………………. p 2. x Gh.M. TUDOR – L’équation Diophantienne x1x1 x2x2 ... xk k w w (IV) …… 3. G. CRISTESCU, Codruţa STOICA – A Minimax Property for a Class of Perfect Information Games …………………………………………... 4. D. BǍRBOSU – The Voronovskaja Theorem for the Schurer-Stancu Operators ............................................................................................................ 5. L. CIURDARIU – Reproducing Kernel Loynes Space ………………………. 6. R.L.LUPSA – Construction of a Multiresolution Analysis in a Lattice Framework ……………………………………………………………………. 7. I. DRAGOMIRESCU – On a Particular Stability Criterion in a Binary Mixture Problem ……………………………………………………………… 8. Gh. ŢIGAN – Analysis of a Dynamical System Derived from the Lorenz System ………………………………………………………………………... 1 12 19 14 32 45 53 61 PHYSICS 9. 10. 11. 12. N. POP – Some thermodynamic properties of the relativistic fermions oscillators …………………………………………………………………… B. ROTHENSTEIN – From one space dimension to two space dimensions in special relativity .…………………………………………………………. V. SAJFERT, B. TOŠIĆ – The reduction of charge propagation in nanorod.. G. J. SPIX, B.ROTHNESTEIN – Teaching special relativity after 100 years from its foundation …………………………………………………………. 73 83 87 97 Tom 50(64), Fascicola 2, 2005, ISSN 1224-6069 MATHEMATICS 9. 10. 11. M. BAICA, A. PERETTI – The Fundamental Solution of the Equation X2-DY2 = 1 12. L. CǍDARIU – Fixed Points in Generalized Metric Space and the Stability of a Quartic Functional Equation ………………………………………… M.ČANAK, L.PROTIĆ, L.STEFANOVSKA – Particular Solution of Vekua Differential Equation by using Mitrinovic Method …………………. Gh.M. TUDOR, T.BÎNZAR – On Some Exponential Diophantiene Equations …. ……………………………………………………………….. I. DRAGOMIRESCU – On the Chandrasekhar-Galerkin Method in a Convection Problem for a Micropolar Fluid ………………………………... 13. 14. 15. O. LIPOVAN –Pseudosubmeasurable and Integrable Functions ……… ….. 1 10 q p Gh.M. TUDOR - L’équation Diophantienne x x y y z z (V) ………… 18 25 35 47 53 PHYSICS 16. 17. 18. B. ROTHENSTEIN, St. POPESCU, G.J. SPIX – Illustrating Einstein’s Special Relativity: A relativistic Diagram that Displays in True Values the Components of a Four Vector ……………………………………………… C. GRUESCU, M. COSTACHE – Design of a Kepler Telescope Providing an Errected Image ………………………………………………………….. M. CRISTEA – IR Absorbtion of some M2O3 Oxides and Their Solid Solutions ......................................................................................... ................ 62 76 83 19. S.BABETI, G. ZET – Solutions in Dilaton Gauge Theory of Gravitation ……................................................................................................................. 92 20. B.S. TOŠIĆ - A Century of Quantum Physics …………………………… .. 100 21. I. LUMINOSU, L. FARA – Exergetic Analysis of a Flat-Plate Solar Collector ......................................................................................................... 108 22. M.V. PUTZ – The Quantum Statistics of the Chemical Reactivity. Part III: Electronic Density Reactivity ……………………………………………… 115 Tom 51(65), Fascicola 1, 2006, ISSN 1224-6069 MATHEMATICS 1. Gh.M. TUDOR, M. NEAGU – About the Diophantine Equations ……… ... 3 2. O. LIPOVAN – An Elementary Integral for Set-Valued Functions ……… .. 9 3. M. BAICA, M. CÂRDU – The Infratrigonometry, an Inferior Order Neighbourhood Domain of Transtrigonometry ……………… ….………… 16 O.T. POP, M. FǍRCAŞ – Some Approximation for Bernstein Polynomials of two Variables on a Triangle …………………………… ...……………… 22 4. 5. 6. 7. 8. M. BAICA, M. CÂRDU – The Ultratrigonometry, a Superior Order Adjacent Domain of the Transtrigonometry ………………………............... 29 T. BÎNZAR, L. CIURDARIU – Noncomutative Finite Systems of Gramian Isometrics Isometries and Applications ………………………………… … 36 Gh. ŢIGAN – Analysis of the Reconnection Process in Nontwist Cubic Maps ………………………………………………………………………… L. CIURDARIU, T.BÎNZARU – A Characterization of Subnormality for Linear Bounded Operators on Loynes Spaces …………………………… ... 45 55 PHYSICS M.V. PUTZ – The Quantum Statistics of the Chemical Reactivity. Part IV: Magnetic and Electric Atomic Properties Derived from Atomic Radii …… 62 11. I. LUMINOSU – The Absorption of the Unpolarized Mono-Chromatic Electromagnetic Radiation by a very Diluated Ferrofluid ………............… J.D. JANJIĆ, B.S. TOŠIĆ – Polyethylene as Light Amplifier …………… 71 80 12. I. ZAHARIE – Analysis of the Classical Shift Doppler Formulas ………… 88 13. M.PAULESCU, E. TULCAN-PAULESCU, P. GRAVILA – Modeling of Quantum Semiconductor Via the Transfer Matrix Method ………………… 95 M. CRISTEA, V. CHIRIŢOIU – Some aspects of IR Absorption in the Isomorphous Me2O3 Ternary System ............……………………………… 102 9. 10. 14. Tom 51(65), Fascicola 2, 2006, ISSN 1224-6069 MATHEMATICS 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. M. BAICA, M. CÂRDU – The Paratrigonometry and some of its Specific Symmetries ……………………………………… P. GĂVRUTA, L. CIURDARIU, L. GĂVRUTA – On the Hyers-Ulam Stability of Parseval Frames ……… ……………………………………… O. LIPOVAN – On the Lebesque Decomposition for Probabilistic Multivalued Measures ………………………………………………………. M. MEGAN, C. STOICA – On exponential Trichotomy for Discrete Time Skew-Evollution Semiflows in Banach Spaces …………………………….. M. ČANAĐIJA, J. BRNIĆ – Solution Strategies for Nonlinear Coupled Thermomechanical Problems ......................................... ............................... G. TURKALJ, G. VIZENTIN, D. LANC – FE Stability Analysis of Elastic Frames Accounting for Connections Flexibility ............................................. O. BUNDĂU – Hopf Bifurcation Analysis of the Growth Model with Delay A. ARON, C. POP, M. PUTA, P. SUSOI – Some Remarks on a Nonlinear Control System on SO(4) ............................................... ............................... L. CĂDARIU, V. RADU – A General Fixed Point Method for the Stability of Jensen Functional Equation ........................................... ........................... A. ARON, St. NICOARĂ, M. PUTA – A Counterexample to a Theorem of Lyapunov ....................................................................... ............................... N. BOJA – Some Analytical Manifolds with Indefinite Metrics, III .......... L. MIHON – Modelling Elements for the Auxiliary Systems which Works on Road Vehicle ................................................................. ........................... 1 12 18 25 33 41 50 57 63 73 78 85 PHYSICS 13. 14. 15. 16. V. SAJFERT, V. MILIĆEVIĆ, V. JEVTIĆ - Medical Image Digitalization and Archiving Information System in Serbia………… ……..…………… Z. TODOROVIC - Theory of the Origin of the Electron .............................. Z. B.TODOROVICH - Theory of the Electron as a Composite Particle …….. P. G. O. FREUND - Ideas of Space ………………………………………… 17. C. GRUESCU, M. COSTACHE - Zoom Erectors in Measuring Apparatuses Schemes ..................................................................................................................... 18. M. F. NICOLOV, C. F. WOENSDREGT - Different Force Fields Applications to Theoretical Growth Forms of Oxide Crystals …………… M. F. NICOLOV, C. F. WOENSDREGT - Analysis of Crystal Structure and Morphology ……………………………………………………………. 19. 93 102 111 125 133 143 149